Parameterized complexity of the arc-preserving subsequence problem

  • Authors:
  • Dániel Marx;Ildikó Schlotter

  • Affiliations:
  • Tel Aviv University, Israel;Budapest University of Technology and Economics, Hungary

  • Venue:
  • WG'10 Proceedings of the 36th international conference on Graph-theoretic concepts in computer science
  • Year:
  • 2010

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Abstract

We study the ARC-PRESERVING SUBSEQUENCE (APS) problem with unlimited annotations. Given two arc-annotated sequences P and T, this problem asks if it is possible to delete characters from T to obtain P. Since even the unary version of APS is NP-hard, we used the framework of parameterized complexity, focusing on a parameterization of this problem where the parameter is the number of deletions we can make. We present a linear-time FPT algorithm for a generalization of APS, applying techniques originally designed to give an FPT algorithm for INDUCED SUBGRAPH ISOMORPHISM on interval graphs [12].